It is possible to obtain the particular solution without first obtaining the complementary A solution by using the method of variation of parameters. When using the method of variation of parameters, the form of the particular solution will B depend on the right-hand side of the given differential equation. When using the method of undetermined coefficients, the form of the particular solution will depend on the complementary solution. It is not possible to obtain the particular solution without first obtaining the complementary D solution when using the method of variation of parameters.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
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Which of the following statements is true about the complementary and particular solutions?

It is possible to obtain the particular solution without first obtaining the complementary
(A
solution by using the method of variation of parameters.
When using the method of variation of parameters, the form of the particular solution will
B)
depend on the right-hand side of the given differential equation.
When using the method of undetermined coefficients, the form of the particular solution will
depend on the complementary solution.
It is not possible to obtain the particular solution without first obtaining the complementary
(D
solution when using the method of variation of parameters.
Transcribed Image Text:It is possible to obtain the particular solution without first obtaining the complementary (A solution by using the method of variation of parameters. When using the method of variation of parameters, the form of the particular solution will B) depend on the right-hand side of the given differential equation. When using the method of undetermined coefficients, the form of the particular solution will depend on the complementary solution. It is not possible to obtain the particular solution without first obtaining the complementary (D solution when using the method of variation of parameters.
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